1)(125*5^(-5))^4*(25^(-3))^(-1)=
=(5^3*5^(-5))^4*(5^2)^3=
=(5^(-2))^4*5^6=5^(-8)*5^6=
=5^(-2)=1/5^2=1/25
2)((-16)^(-4)*32^(-3))/64^(-5)=
=((-2^4))^(-4)*(2^5)^(-3))/(2^6)^(-5))=
=2^(-16)*2^(-15)/2^(-30)=
=2^(-31)/2^(-30)=2^(-1)=1/2
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Answers & Comments
1)(125*5^(-5))^4*(25^(-3))^(-1)=
=(5^3*5^(-5))^4*(5^2)^3=
=(5^(-2))^4*5^6=5^(-8)*5^6=
=5^(-2)=1/5^2=1/25
2)((-16)^(-4)*32^(-3))/64^(-5)=
=((-2^4))^(-4)*(2^5)^(-3))/(2^6)^(-5))=
=2^(-16)*2^(-15)/2^(-30)=
=2^(-31)/2^(-30)=2^(-1)=1/2